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OAU Post-UTME Mathematics 2017 (Set 1 Type 1) Question 3

Question 3

Integration

Evaluate the integral ∫12(x2 + 1/x)dx

  1. A.8/3 + ln 2
  2. B.7/3 + ln 2
  3. C.7/3 − ln 3
  4. D.8/3
Show the answer and explanation

Answer: B (7/3 + ln 2)

Explanation

The integral is x³/3 + ln x. From 1 to 2: (8/3 + ln 2) − (1/3 + 0) = 7/3 + ln 2.